It is possible that one may touch the SARS-CoV-2 virus while handling packages contaminated by the virus however, one may only contract the virus or be affected by it when the virus comes into contact with your mucosal membranes (mouth, tongue or nose) thus entering your body. This is not the main means of transmission. Inhaling respiratory droplets is the main way the virus spreads.
The virus does not survive well on surfaces, therefore there is a lower risk of it spreading from products or packages that are shipped or delivered over a period of time.